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Particle in Expanded 1D Box

  1. Feb 1, 2009 #1
    1. The problem statement, all variables and given/known data
    A particle was originally in a 1D potential box of length L and in its ground state. However, the walls of the box expanded symmetrically to 2L suddenly. Calculate the probability of the particle remaining in its ground state.

    2. Relevant equations
    [tex]\psi[/tex](x) = [tex]\sqrt{\frac{2}{L}}[/tex] sin ([tex]\frac{n\pi x}{L}[/tex])

    3. The attempt at a solution
    When I checked around, the answer seems to be (8/3pi)^2... Can anyone guide me as to what is wrong with my working?

    [​IMG]

    Please pardon my handwriting...

    Thanks!
     
    Last edited: Feb 1, 2009
  2. jcsd
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